Required: 1. Calculate the composite dealership profit if 3,050 units are sold. 3. The regression equation that Jack Snyder developed to project annual sales of a dealership has an R-squared of 60% and a standard error of the estimate of $6,600,000. If the projected annual sales for a dealership total $41,800,000, determine the approximate 95% confidence interval for Jack's prediction of sales. (Hint: The 95% confidence interval uses 2 standard errors in determining the interval.)

Managerial Accounting: The Cornerstone of Business Decision-Making
7th Edition
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Author:Maryanne M. Mowen, Don R. Hansen, Dan L. Heitger
Publisher:Maryanne M. Mowen, Don R. Hansen, Dan L. Heitger
Chapter2: Basic Managerial Accounting Concepts
Section: Chapter Questions
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United States Motors Incorporated (USMI) manufactures automobiles and light trucks and distributes them for sale to consumers
through franchised retail outlets. As part of the franchise agreement, dealerships must provide monthly financial statements following
the USMI accounting procedures manual. USMI has developed the following financial profile of an average dealership that sells 2,200
new vehicles annually:
AVERAGE DEALERSHIP FINANCIAL PROFILE
Composite Income Statement
Sales
Cost of goods sold
Gross profit
Operating costs
Variable
Mixed
Fixed
$ 44,000,000
36,300,000
$ 7,700,000
1,265,000
3,388,000
2,719, 200
$ 327,800
Operating income
USMI is considering a major expansion of its dealership network. The vice president of marketing has asked Jack Snyder, corporate
controller, to develop some measure of the risk associated with the addition of these franchises. Jack estimates that 90% of the mixed
costs shown are variable for purposes of this analysis. He also suggests performing regression analyses on the various components of
the mixed costs to more definitively determine their variability.
Required:
1. Calculate the composite dealership profit if 3,050 units are sold.
3. The regression equation that Jack Snyder developed to project annual sales of a dealership has an R-squared of 60% and a
standard error of the estimate of $6,600,000. If the projected annual sales for a dealership total $41,800,000, determine the
approximate 95% confidence interval for Jack's prediction of sales. (Hint: The 95% confidence interval uses 2 standard errors in
determining the interval.)
Transcribed Image Text:United States Motors Incorporated (USMI) manufactures automobiles and light trucks and distributes them for sale to consumers through franchised retail outlets. As part of the franchise agreement, dealerships must provide monthly financial statements following the USMI accounting procedures manual. USMI has developed the following financial profile of an average dealership that sells 2,200 new vehicles annually: AVERAGE DEALERSHIP FINANCIAL PROFILE Composite Income Statement Sales Cost of goods sold Gross profit Operating costs Variable Mixed Fixed $ 44,000,000 36,300,000 $ 7,700,000 1,265,000 3,388,000 2,719, 200 $ 327,800 Operating income USMI is considering a major expansion of its dealership network. The vice president of marketing has asked Jack Snyder, corporate controller, to develop some measure of the risk associated with the addition of these franchises. Jack estimates that 90% of the mixed costs shown are variable for purposes of this analysis. He also suggests performing regression analyses on the various components of the mixed costs to more definitively determine their variability. Required: 1. Calculate the composite dealership profit if 3,050 units are sold. 3. The regression equation that Jack Snyder developed to project annual sales of a dealership has an R-squared of 60% and a standard error of the estimate of $6,600,000. If the projected annual sales for a dealership total $41,800,000, determine the approximate 95% confidence interval for Jack's prediction of sales. (Hint: The 95% confidence interval uses 2 standard errors in determining the interval.)
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